For her softball uniform, Meredith has a green or white jersey. She also has white, green, or striped shorts. If Meredith chooses a jersey and shorts randomly, what is the probability that she will go to softball practice in a green jersey and green shorts?

1 answer

To find the probability that Meredith will go to softball practice in a green jersey and green shorts, we first need to determine the total number of possible combinations of jerseys and shorts.

Meredith has:

  • 2 options for jerseys: green or white.
  • 3 options for shorts: white, green, or striped.

The total number of combinations of jerseys and shorts is calculated by multiplying the number of jersey options by the number of shorts options:

\[ \text{Total combinations} = (\text{Number of jerseys}) \times (\text{Number of shorts}) = 2 \times 3 = 6 \]

Now we identify the specific combination we are interested in: a green jersey and green shorts. This is just one particular combination out of the total. We can list all the combinations to confirm:

  1. Green jersey and white shorts
  2. Green jersey and green shorts
  3. Green jersey and striped shorts
  4. White jersey and white shorts
  5. White jersey and green shorts
  6. White jersey and striped shorts

From the list, we see that there is indeed only 1 combination that consists of both a green jersey and green shorts.

To find the probability of this specific combination occurring, we use the formula for probability:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{6} \]

Thus, the probability that Meredith will go to softball practice in a green jersey and green shorts is:

\[ \boxed{\frac{1}{6}} \]